2142953864128 has 448 divisors, whose sum is σ = 5831455057920. Its totient is φ = 756467712000.

The previous prime is 2142953864119. The next prime is 2142953864137. The reversal of 2142953864128 is 8214683592412.

It is an interprime number because it is at equal distance from previous prime (2142953864119) and next prime (2142953864137).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×2142953864128² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 174203578 + ... + 174215878.

Almost surely, 2^{2142953864128} is an apocalyptic number.

2142953864128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142953864128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2915727528960).

2142953864128 is an abundant number, since it is smaller than the sum of its proper divisors (3688501193792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2142953864128 is a wasteful number, since it uses less digits than its factorization.

2142953864128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12436 (or 12426 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 55.

The spelling of 2142953864128 in words is "two trillion, one hundred forty-two billion, nine hundred fifty-three million, eight hundred sixty-four thousand, one hundred twenty-eight".